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Скачать или смотреть Problem based on parallel plate capacitor with dielectric

  • Quality Education Classes
  • 2025-08-15
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Problem based on parallel plate capacitor with dielectric
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A parallel plate capacitor consists of two conductive plates, typically metal, placed parallel to each other, separated by a small distance and an insulating material (dielectric). This arrangement stores electrical energy in the electric field created between the plates. 

Here's a more detailed explanation:

Key Components:

Conducting Plates: These are usually made of metal and are arranged parallel to each other. 

Dielectric: An insulating material (like air, plastic, or ceramic) placed between the plates. It increases the capacitance and prevents a direct electrical connection between the plates. 

How it Works:

1. Charging:

When a voltage source (like a battery) is connected to the capacitor, charge accumulates on the plates. One plate gains a positive charge, and the other gains an equal and opposite negative charge. 

2. Electric Field:

This charge separation creates an electric field between the plates, pointing from the positive to the negative plate. 

3. Energy Storage:

The capacitor stores energy in this electric field. 

4. Discharging:

When the voltage source is removed, the capacitor can release its stored energy. 

Capacitance:

Definition:

Capacitance (C) is the ability of a capacitor to store charge. It's defined as the ratio of the charge (Q) on one plate to the voltage (V) between the plates: C = Q/V. 

Factors Affecting Capacitance:

Area of the plates (A): Larger area leads to higher capacitance. 

Distance between plates (d): Smaller distance leads to higher capacitance. 

Dielectric material (ε): The permittivity of the dielectric material affects capacitance. A higher permittivity (or dielectric constant) means higher capacitance. 

Formula:

The capacitance of a parallel plate capacitor can be calculated using the formula: C = ε₀ * A / d, where ε₀ is the permittivity of free space. 

Applications:

Parallel plate capacitors are used in a wide range of electronic circuits and devices, including: 

Energy Storage: For storing electrical energy in various applications. 

Filtering: Blocking or passing certain frequencies in electronic circuits. 

Tuning: Selecting specific frequencies in circuits, like in radio receivers. 

Sensing: Detecting changes in physical quantities by measuring capacitance variations. 

Other applications: Capacitors are also used in power supplies, timing circuits, and many other electronic devices

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